The experiment performed by Eratosthenes to measure the circumference of the Earth was low-tech, but rather involved. As a first step, we will use the position of the sun at Solar Noon to estimate the latitude of an observer. Problem 1.01. At noon on the equinox, the sun shines directly overhead at the equator. Draw a diagram to show how the length of a shadow on the equinox is related to the latitude of an observer. Assume the sun's rays are parallel to the equatorial rays. 25, 24 Forth 0 25,26 56,03² 90° Sun Problem 1.02. Now, use your diagram to find an expression for the circumference of the Earth Co in terms of the latitude of an observer 0, the full 360° of a circle, and the distance from the observer at to the equator S. Problem 1.03. Now, use the Solar Calculator found at https://gml.noaa.gov/grad/solcalc/ to find today's solar noon and solar declination. 1. Solar Noon time: 2. Solar Declination: Problem 1.04. Finally, suppose you were to place a 1 m stick perpendicular to the ground at solar noon today, find the angle the shadow makes with the tip of the meter stick and the length of the meter stick. 1. Angle today shadow= 2. Shadow Length Lshadow
The experiment performed by Eratosthenes to measure the circumference of the Earth was low-tech, but rather involved. As a first step, we will use the position of the sun at Solar Noon to estimate the latitude of an observer. Problem 1.01. At noon on the equinox, the sun shines directly overhead at the equator. Draw a diagram to show how the length of a shadow on the equinox is related to the latitude of an observer. Assume the sun's rays are parallel to the equatorial rays. 25, 24 Forth 0 25,26 56,03² 90° Sun Problem 1.02. Now, use your diagram to find an expression for the circumference of the Earth Co in terms of the latitude of an observer 0, the full 360° of a circle, and the distance from the observer at to the equator S. Problem 1.03. Now, use the Solar Calculator found at https://gml.noaa.gov/grad/solcalc/ to find today's solar noon and solar declination. 1. Solar Noon time: 2. Solar Declination: Problem 1.04. Finally, suppose you were to place a 1 m stick perpendicular to the ground at solar noon today, find the angle the shadow makes with the tip of the meter stick and the length of the meter stick. 1. Angle today shadow= 2. Shadow Length Lshadow
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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could you answer problem 1.03?
Transcribed Image Text:Latitude
The experiment performed by Eratosthenes to measure the circumference of the Earth was
low-tech, but rather involved. As a first step, we will use the position of the sun at Solar
Noon to estimate the latitude of an observer.
Problem 1.01. At noon on the equinox, the sun shines directly overhead at the equator.
Draw a diagram to show how the length of a shadow on the equinox is related to the
latitude of an observer. Assume the sun's rays are parallel to the equatorial rays.
23 24 forth
23.26
66,63
90°
Problem 1.02. Now, use your diagram to find an expression for the circumference of the
Earth Ce in terms of the latitude of an observer 0, the full 360° of a circle, and the distance
from the observer at to the equator S.
Sun
Problem 1.03. Now, use the Solar Calculator found at https://gml.noaa.gov/grad/solcalc/
to find today's solar noon and solar declination.
1. Solar Noon time:
2. Solar Declination:
Problem 1.04. Finally, suppose you were to place a 1 m stick perpendicular to the ground
at solar noon today, find the angle the shadow makes with the tip of the meter stick and the
length of the meter stick.
1. Angle today shadow=
2. Shadow Length Lshadow=
1
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